100172072 has 96 divisors (see below), whose sum is σ = 256828320. Its totient is φ = 36005760.

The previous prime is 100172063. The next prime is 100172089. The reversal of 100172072 is 270271001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55163 + ... + 56949.

It is an arithmetic number, because the mean of its divisors is an integer number (2675295).

Almost surely, 2^100172072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100172072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128414160).

100172072 is an abundant number, since it is smaller than the sum of its proper divisors (156656248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100172072 is a wasteful number, since it uses less digits than its factorization.

100172072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 100172072 is about 10008.5999020842. The cubic root of 100172072 is about 464.4249599631.

The spelling of 100172072 in words is "one hundred million, one hundred seventy-two thousand, seventy-two".